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Finding the Fourth Proportional to 8,546.60, 11,792.84 and 4,768.92

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Solution

The fourth proportional to 8,546.60, 11,792.84 and 4,768.92 is: 6,580.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.60 : 11,792.84 = 4,768.92 : x
  2. Step 2: Convert to fraction form
    8,546.60/11,792.84 = 4,768.92/x
  3. Step 3: Cross multiply
    8,546.60x = 11,792.84 × 4,768.92
  4. Step 4: Simplify right side
    8,546.60x = 56,239,110.53
  5. Step 5: Solve for x
    x = 56,239,110.53/8,546.60
  6. Step 6: Final answer
    x = 6,580.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.